Electronic spectra of commensurate and incommensurate DWNTs in parallel magnetic field

Details Electronic spectra of commensurate and incommensurate DWNTs in parallel magnetic field Electronic spectra of commensurate and incommensurate DWNTs in parallel magnetic field

2009-01-14

arxiv.org/abs/0901.2077v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

25 pages, 14 figures, submitted to New Journal of Physics

Scientific paper

10.1088/1367-2630/11/3/033031

We study the electronic spectra of commensurate and incommensurate double-wall carbon nanotubes (DWNTs) of finite length. The coupling between nanotube shells is taken into account as an intershell electron tunneling. Selection rules for the intershell coupling are derived. Due to the finite size of the system, these rules do not represent exact conservation of the crystal momentum, but only an approximate one; therefore the coupling between longitudinal momentum states in incommensurate DWNTs becomes possible. The use of the selection rules allows a fast and efficient calculation of the electronic spectrum. In the presence of a magnetic field parallel to the DWNT axis we find spectrum modulations which depend on the chiralities of the shells.

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